A fixed-end shaft is subjected to torques T1 (Nm) and T2 (Nm) as shown in the figure. If theshear modulus of elasticity is Gahat= 20 GPa, and shaft diameters are D, (mm) and D2 (mm)determine the angle of twist at point C, ØCIA-D1=100mmD2=30mmT1=800NMT2=200NMD1=100mmT(Nm)BD2=30mm |T;(Nm)AL=300mmSection for point A=900mmSection for points B and CResults TableОСА (rad.)-

The given values are - d1=100mm, d2=30 mm , TAB=800+200=1000×103Nmm , TBC=200×103NmmLAB=900mm,…

A fixed-end shaft is subjected to torques T1 (Nm) and T2 (Nm) as shown in the figure. If the shear modulus of elasticity is Gaan= 20 GPa, and shaft diameters are D1 (mm) and D2 (mm) determine the angle of twist at point C, Øc'A- D1=100mm D2=30mm T1=800NM T2=200NM D1=100mm LNm) D2=30mm T:(Nm) L=300mm Section for point A Section for points B and C =900mm Results Table ОСА (rad.)-

A fixed-end shaft is subjected to torques T1 (Nm) and T2 (Nm) as shown in the figure. If the shear modulus of elasticity is Gaan= 20 GPa, and shaft diameters are D1 (mm) and D2 (mm) determine the angle of twist at point C, Øc'A- D1=100mm D2=30mm T1=800NM T2=200NM D1=100mm LNm) D2=30mm T:(Nm) L=300mm Section for point A Section for points B and C =900mm Results Table ОСА (rad.)-

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.4.5P: A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions...

See similar textbooks

Similar questions

A solid circular shaft AB of diameter d is fixed against rotation at both ends (sec figure), A circular disk is attached to the shaft at the location shown. What is the largest permissible angle of rotation 0max of the disk if the allowable shear stress in the shaft is Tallow? [Assume that a >b. Also, use Eqs. (3-50a and b) of Example 3-9 to obtain the reactive torques.]
What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/m?
A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at B, The allowable shear stress in the steel is 6000 psi. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the shaft does not exceed the allowable limit.
A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions shown in the figure. The magnitudes of the torques are T1= 1000 lb-in., T2= T4= 500 lb-in., and T3= T5= 800 lb-in. The tube has an outside diameter of d2= 1.0 in. The allowable shear stress is 12,000 psi and the allowable rate of twist is 2.0°/ft. Determine the maximum permissible inside diameter d1, of the tube.
A nonprismatic bar ABC with a solid circular cross section is loaded by distributed torques (sec figure). The intensity of the torques, that is, the torque per unit distance, is denoted t(x) and varies linearly from zero at A to a maximum value T0/L at B. Segment BC has linearly distributed torque of intensity r(x) = T0/3L of opposite sign to that applied along AB. Also, the polar moment of inertia of AB is twice that of BC and the shear modulus of elasticity of the material is G. Find the reaction torque RA. Find internal torsional moments T(x) in segments AB and BC. Find the rotation t0 Find the maximum shear stress tmaxand its location along the bar, Draw the torsional moment diagram (TMD:T(x),0 < x < L).
A solid constant-diameter shaft is subjected to the torques shown. The bearings shown allow the shaft to turn freely. Determine the internal torque in segment (2) of the shaft. Assume that TA = 130 N-m, TB = 300 N-m, Tc= 365 N-m, and Tp = 195 N-m. X TD O -155 N-m -204 N-m O -170 N-m -230 N-m O-214 N-m Tc C (2) B TB (1) TA
A solid constant-diameter circular shaft is subjected to torques TA = 420 lb- ft, TB = 1,040 lb- ft, TC = 850 lb-ft, andTD = 230 lb-ft, acting in the directions shown in the figure. The bearings shown allow the shaft to turn freely. (a) Plot a torque diagram showing the internal torque in segments (1), (2), and (3) of the shaft. Use the right-hand rule. (b) If the allowable shear stress in the shaft is 6,000 psi, what is the minimum acceptable diameter for the shaft?
A solid constant-diameter shaft is subjected to the torques shown. The bearings shown allow the shaft to turn freely. Determine the internal torque in segment (2) of the shaft. Assume that TA = 130 N-m, TB = 320 N-m, Tc = 371 N-m, and TD = 181 N-m. TD (3) O -208 N-m O -224 N-m O -138 N-m O -190 N-m O -265 N-m Tc (2) B TB (1) TA
A metal shaft ABCD with variable cross-section is subjected to three external torques (T₁=28 kip- in, T2=8 kip-in, and T3=10 kip-in) as shown in the figure below. Each torque is acting at the locations marked with circular points along the shaft. Note that a 16-inch long segment of the shaft at the free end (right) has a 1-inch diameter bore. The dimensions (lengths and diameters) of the shaft are given in the figure. Assume deformation is linear elastic and take G=12×106 psi. D [3" 16"- X C T₁ 2" -32"- T₂ 1" diam. bore B -16"- A T3 the bar has a uniform diameter d along its full length, but external torques remain the same and are applied at the same locations. If the failure shear stress for the material is equal to Tfail = 10 ksi, and the factor of safety is equal to 2, determine the required (uniform) diameter d for the bar. Assume that the bar is solid for its entire length.
A shaft made from acrylic is subjected to the three torques indicated below. The acrylic has a shear modulus of 1.7 GPa. Determine: a. The twist at the end D if the diameter if the shaft is 100 mm. b. The minimum shaft diameter if Tallow = 10 MPa 200 N•m A 800 N•m 300 mm B 400 N•m 600 mm C 600 mm
Consider two steel shafts CFG and HJ of diameters 50 mm and 70 mm respectively as shown in fig. The shaft CFG is supported at two bearings, while shaft HJ is fixed at 'H' and supported by bearings at 'J. Determine the torques T 1 and T 2 if the twisting at gears C and G is required to be 0.05 rad. Take E=205GPA, G=70GPA 600 mm 75mm 600 mm 50mm 800mm G. T2
The figure below shows a shaft of three segments. It is restrained (fixed support) at both sides and is loaded by two torques. Use Gpronze = 35 GPa, Galum = 28 GPa, and Gsteel = 83 GPa. Bronze Aluminum Steel diameter = 25 mm diameter = 50 mm diameter = 25 mm T-300 N.m- K To-700 N.m K D B 2 m - 2 m - 2.5 m Determine the angle of twist developed in steel from support B. Select the correct response: O 0.005 rad 0.516 rad 0413 rad 0.511 rad 日E周 TETET